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Finding the Fourth Proportional to 1,414,397.16, 1,951,867.92 and 769,821.96

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Solution

The fourth proportional to 1,414,397.16, 1,951,867.92 and 769,821.96 is: 1,062,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,397.16 : 1,951,867.92 = 769,821.96 : x
  2. Step 2: Convert to fraction form
    1,414,397.16/1,951,867.92 = 769,821.96/x
  3. Step 3: Cross multiply
    1,414,397.16x = 1,951,867.92 × 769,821.96
  4. Step 4: Simplify right side
    1,414,397.16x = 1,502,590,787,835.52
  5. Step 5: Solve for x
    x = 1,502,590,787,835.52/1,414,397.16
  6. Step 6: Final answer
    x = 1,062,354.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.